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Finding the Fourth Proportional to 117,715.20, 176,281.20 and 75,530.40

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Solution

The fourth proportional to 117,715.20, 176,281.20 and 75,530.40 is: 113,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,715.20 : 176,281.20 = 75,530.40 : x
  2. Step 2: Convert to fraction form
    117,715.20/176,281.20 = 75,530.40/x
  3. Step 3: Cross multiply
    117,715.20x = 176,281.20 × 75,530.40
  4. Step 4: Simplify right side
    117,715.20x = 13,314,589,548.48
  5. Step 5: Solve for x
    x = 13,314,589,548.48/117,715.20
  6. Step 6: Final answer
    x = 113,108.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.